Increasing aerothermal and aero-elastic performance requirements and constraints are closely linked in modern blading designs. There is thus a need for more concurrent interaction between the disciplines at earlier stages of a design process. Presented in this paper are the development, validation, and demonstration of the adjoint approach to concurrent blading aerodynamic and aero-elastic design optimizations. A nonlinear harmonic phase solution method is adopted to solve the unsteady Reynolds-averaged Navier–Stokes equations. The flow field response in terms of both the mean aerothermal performance and aero-elastic stability to a geometrical perturbation can be obtained by three “steadylike” flow solutions at three distinctive temporal phases. This unsteady flow solution method is computationally very efficient and provides a convenient and consistent base for formulating the corresponding adjoint equations. The adjoint system for the unsteady flow solver is solved effectively by a relatively simple extension of the method and techniques previously developed for a steady flow adjoint solver. As a result, the sensitivities of both the steady (time-mean) flow loss and the aerodynamic damping/forcing to detailed blade geometry changes can be very efficiently obtained by solving equivalently three steadylike adjoint equations. Several case studies are presented to illustrate the validity and effectiveness of this new concurrent approach.
Skip Nav Destination
Article navigation
January 2011
Research Papers
Concurrent Blade Aerodynamic-Aero-elastic Design Optimization Using Adjoint Method
L. He,
L. He
Department of Engineering Science, Osney Laboratory,
Oxford University
, Parks Road, Oxford OX1 3PJ, UK
Search for other works by this author on:
D. X. Wang
D. X. Wang
Siemens Industrial Turbomachinery Ltd.
, Ruston House, P.O. Box 1, Waterside South, Lincoln LN5 7FD, UK
Search for other works by this author on:
L. He
Department of Engineering Science, Osney Laboratory,
Oxford University
, Parks Road, Oxford OX1 3PJ, UK
D. X. Wang
Siemens Industrial Turbomachinery Ltd.
, Ruston House, P.O. Box 1, Waterside South, Lincoln LN5 7FD, UKJ. Turbomach. Jan 2011, 133(1): 011021 (10 pages)
Published Online: September 23, 2010
Article history
Received:
July 8, 2009
Revised:
July 23, 2009
Online:
September 23, 2010
Published:
September 23, 2010
Citation
He, L., and Wang, D. X. (September 23, 2010). "Concurrent Blade Aerodynamic-Aero-elastic Design Optimization Using Adjoint Method." ASME. J. Turbomach. January 2011; 133(1): 011021. https://doi.org/10.1115/1.4000544
Download citation file:
Get Email Alerts
Related Articles
Prediction of Flutter of Turbine Blades in a Transonic Annular Cascade
J. Fluids Eng (November,2005)
Experimental and Computational Study of Oscillating Turbine Cascade and Influence of Part-Span Shrouds
J. Fluids Eng (May,2009)
Aeroelastic Stability of Welded-in-Pair Low Pressure Turbine Rotor Blades: A Comparative Study Using Linear Methods
J. Turbomach (January,2007)
Aerodynamic Asymmetry Analysis of Unsteady Flows in Turbomachinery
J. Turbomach (January,2010)
Related Chapters
Boundary Layer Analysis
Centrifugal Compressors: A Strategy for Aerodynamic Design and Analysis
Antilock-Braking System Using Fuzzy Logic
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Dynamic Behavior of Pumping Systems
Pipeline Pumping and Compression Systems: A Practical Approach